Delay-Dependent H Filter Design for Linear Time-Delayed Systems with Nonlinear Perturbations

H.R. Karimi (Norway)


H filtering; timedelay; LMI; nonlinear perturbations


In this note, the problem of H filtering for a class of nonlinear neutral systems with delayed states and outputs is investigated. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities (LMIs) for the existence of the desired H filters. The explicit expression of the filters is derived to satisfy both asymptotic stability and a prescribed level of disturbance attenuation for all admissible known nonlinear functions. A numerically example is provided to show the proposed design approach.

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